38270444298240 has 448 divisors, whose sum is σ = 152674880832000. Its totient is φ = 7952298147840.

The previous prime is 38270444298221. The next prime is 38270444298253. The reversal of 38270444298240 is 4289244407283.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7439386 + ... + 11484134.

Almost surely, 2^{38270444298240} is an apocalyptic number.

38270444298240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38270444298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76337440416000).

38270444298240 is an abundant number, since it is smaller than the sum of its proper divisors (114404436533760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38270444298240 is a wasteful number, since it uses less digits than its factorization.

38270444298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044801 (or 4044777 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 57.

The spelling of 38270444298240 in words is "thirty-eight trillion, two hundred seventy billion, four hundred forty-four million, two hundred ninety-eight thousand, two hundred forty".